Search a number
-
+
148278960 = 24325415023
BaseRepresentation
bin10001101011010…
…00111010110000
3101100000100111100
420311220322300
5300424411320
622414044400
73450231114
oct1065507260
9340010440
10148278960
11767771a5
12417a9700
132494873b
141599b744
15d03e790
hex8d68eb0

148278960 has 120 divisors (see below), whose sum is σ = 510217344. Its totient is φ = 38568960.

The previous prime is 148278899. The next prime is 148278961. The reversal of 148278960 is 69872841.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (148278961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27009 + ... + 32031.

Almost surely, 2148278960 is an apocalyptic number.

148278960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148278960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255108672).

148278960 is an abundant number, since it is smaller than the sum of its proper divisors (361938384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148278960 is a wasteful number, since it uses less digits than its factorization.

148278960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 148278960 is about 12176.9848484754. The cubic root of 148278960 is about 529.2893763274.

The spelling of 148278960 in words is "one hundred forty-eight million, two hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5023 5904 7380 9840 10046 14760 15069 20092 25115 29520 30138 40184 45207 50230 60276 75345 80368 90414 100460 120552 150690 180828 200920 205943 226035 241104 301380 361656 401840 411886 452070 602760 617829 723312 823772 904140 1029715 1205520 1235658 1647544 1808280 1853487 2059430 2471316 3089145 3295088 3616560 3706974 4118860 4942632 6178290 7413948 8237720 9267435 9885264 12356580 14827896 16475440 18534870 24713160 29655792 37069740 49426320 74139480 148278960